Su is baking 5 batches each of cookies and cupcakes. The cookies use 2 cups of sugar per batch and the cupcakes use 3 cups of sugar per batch. Write two equivalent expressions using the Distributive Property. Then find how many total cups of sugar are needed.
I know the answer is 25 but how would I write the expression.

Answer:

Step-by-step explanation:

Do this step by step.

Let the number = x

1/3 of a number = 1/3 x

Added to itself 1/3x + x

=

3*(x - 7)

So the equation is

1/3x  + x = 3(x - 7)            Remove the brackets. Collect 1/3x and x

4/3 x = 3x - 21                 Multiply both sides by 3.

4x = 3*(3x - 21)                Remove the brackets again

4x = 9x - 63                    Subtract 9x from both sides

-5x = -63                         Divide by -5

x = -63/-5

x = 12.6

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Step-by-step explanation:

tdcvyvj j ct ruv yo bb. v

Answer:

Area = 20.28 cm^2

Perimeter = 16.28 cm

Step-by-step explanation:

The figure is composed of a half circle and a rectangle,

The circle has a diameter of 7 - 2 - 1 = 4cm and the rectangle is of side 2 cm and 7 cm.

Therefore the area is :

Area = A rectangle + Acircle/2 = 2*7 + pi*r^2/2 = 20.28 cm^2

The perimeter is :

Perimiter = 1 + 2 + 7 + Pcircle/2 = 1 + 2 + 7 + 2*pi*r/2 = 16.28 cm

Answer:

24

Step-by-step explanation:

18 is 75% of 24.

Answer:

Unit rate = 50m/h

Step-by-step explanation:

Distance = 25 (x2) = 50                     ( basically make the den 1 and wht

Time = 1/2 hr (x2) = 1hr                      u do to den do to num)

Unit rate = 50m/h

Answer:

The slope is -3

Step-by-step explanation:

The formula is y= mx + b

m = slope

b=  y intercept

Therefore, the slope is -3

Answer:

θ=2πn1  + arcsin(24/25), n1  ∈ Z or θ=2πn2 +π−arcsin(24/25) , n2  ∈ Z

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

sin A = 24 / 25

as we know that :

sin ² A + cos ²A = 1

cos ²A = 1 - sin²A

cos ²A = 1 - ( 24/25) ²

cos² A = 1 - 576 / 625

cos ²A =. 625 - 576 / 625

cos ² A. =. 49 / 625

cos A =. √ 49/ 625

cos A = 7 / 25

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Answer:

22.5 feet

Step-by-step explanation:

The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.

Since

A 26-foot-long ladder is leaning against a building at a 60 degree angle with the ground.

We know that

sin θ = Perpendicular/Hypotenuse.

So

here we assume p be the Perpendicular

So,

sin60 = p/26.

p = 26*sin60.

p = 22.5

hence, The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.

Learn more about height here; https://brainly.com/question/21005254

Answer:

D

Step by step explanation

Use synthetic division to solve. Final ending answer is [tex]3x^{2} +4x-9+\frac{8}{(x+1)}[/tex]

Answer:

1 square unit

Step-by-step explanation:

its easy

1 * 1 = 1

Answer:

z=[tex]\sqrt{14^{2} -5^{2} }[/tex]

z=13.08

(5)[tex]\sqrt{171}[/tex]=14x

x=4.67

y=[tex]\sqrt{5^{2} -4.67^{2} }[/tex]

y=1.79

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Answer:

Step-by-step explanation:

plug the numbers in and see if it is true

x=3, y=8

y=7x+8

8=7(3)+8

8=29

is not true, so it is not a solution. even if it might be a solution for the other equation, it is not true for this equation so it is not a solution for this system

how to find an equation: since y=7x+8 and y=x+1, then

7x+8=y, and y=x+1

7x+8=y=y=x+1

7x+8=x+1

6x+8=1

6x=-7

x=-7/6

y=x+1

y=-1/6

solution: (-1 1/6, -1/6)

Answer:

La mediana es 79 la moda es 87 la media 87 y él rango es 26

Step-by-step explanation:

Espero te ayude ;)

The mode, median and the range are 87, 79 and 26 respectively

Given the data 84,91, 72,68,87, 78,65,87,79., we are to get the median, mode, and range of the data.

The median is the number in the middle after arrangement. On arranging, we will have:

65, 68, 72, 78), 79, (84, 87, 87, 91

Range  = Highest - lowest

Range = 91 - 65

Range = 26

Learn more on measure of central tendency here: https://brainly.com/question/17726154

The domain is (-infinity,1)(1, infinity) or {x|X=/1} the dash goes through the equal sign

the formula may be h^2x h squared x for expanding using sum/difference

Answer:

= 15/4

Step-by-step explanation:

Answer:

12(m +1) > 18m - 3

12m + 12 > 18m - 3

12+3 > 18m - 12m

15 > 6 m.

m < 15/6

m < 2.5

4th option is correct.

Answer:

{m| m < 2.5}

Step-by-step explanation:

m < 2 1/2,m < 2.5 , m ∑ [-∞, 5/2]

hope that helped!

Answer:

im pretty sure its 25

Step-by-step explanation:

Answer:

25.00

Step-by-step explanation:

I got it correct.

Answer:

plz mark me as brainiest

Step-by-step explanation:

10-6=4

10+6 =16

4 >x>16.

Answer:

i can help

Step-by-step explanation:

Answer:

Step-by-step explanation:

2

Answer:

Step-by-step explanation:

(2,6) (4, 18)

(18 - 6)/(4 - 2) = 12/2= 6

slope: 6

y - 6 = 6(x - 2)

y - 6 = 6x - 12

y = 6x  - 6

f(x) = 6x - 6 slope int form

y int (0, -6)

Step-by-step explanation:

use the midpoint formula

-3+-7/2, 8+-6/2

(-5, 1)

Answer:

Answer: Not too Sure... Maybe 318

Answer:

$30.00 fee

$45.00=total bill

$0.10 per minute of usage

x = minutes used

$30.00 + 0.10 per minute = $45.00

$30.00+$0.10(x) = $45.00

$0.10(x) = $45.00-$30.00 = $15.00

x = $15.00/$0.10 = 150 minutes used

Answer:

25.12

Step-by-step explanation:

πr^2

π4^2 = ~50.27

~50.27/2 = ~25.12

Answer:

c

Step-by-step explanation: